Question

If Sec θ + tan θ = l, then find value of Sin θ in terms of l..

Answer 1

$sec\ \theta+tan\ \theta=l\\ \\ \frac{1}{cos\ \theta} + \frac{sin\ \theta}{cos\ \theta} =l\\ \\ \frac{1+sin\ \theta}{cos\ \theta} =l\\ \\ 1+sin\ \theta=l\ cos\ \theta\\ \\sin\ \theta=lcos\ \theta-1$

Answer 2

secФ+tanФ=I
1/cosФ+sinФ/cosФ=I
1+sinФ    = I
cosФ
 
1+sinФ = I cosФ
sinФ=IcosФ-1